Constructive and axiomatic approaches of fuzzy approximation operators

The urban growth potential of second-generation migrant entrepreneurs: A sectoral study on Amsterdam

“…The applications of rough set theory to solving specific complex problems have been an attractive research topic in recent years and a large number of rough set theory applications have been reported in various fields such as medicine, economics, finance, business, environmental engineering, intelligent control, signal and image analysis, software engineering, decision analysis, social sciences, molecular biology and pharmacy (for a comprehensive review of the available literature on applications of rough set theory, see Wu and Zhang, 2004). Rough set theory is an extension of set theory; it can effectively handle discrete variables with multilevel categories.…”

“…Details on RSA both from a methodological and from an applied perspective can, inter alia, be found in Degoun et al (1997), Famili et al (1997), Fayyad et al (1996), Pawlak (1991Pawlak ( , 1992, Slowinski (19950, van den Bergh et al (1998), Wu and Zhang (2004) and Ziarco, (1998. The reader is referred to these studies for more details.…”

Granular Structure of Type-2 Fuzzy Rough Sets over Two Universes

“…In [15], fuzzy rough sets were applied to feature selection for the first time. Wu et al studied the generalized fuzzy rough sets using both constructive and axiomatic approaches [16,17]. Mi and Zhang [18] introduced the definitions of generalized fuzzy lower and upper approximation operators determined by a residual implication and studied the composition of two approximation spaces.…”

Implicator-Conjunctor Based Models of Fuzzy Rough Sets: Definitions and Properties

“…This idea sparked the seminal proposal in [3], and since then many papers [8][9][10][11][12][13][14][15][16][17][18] have focused on the refinement of this model using both constructive approaches, which propose new definitions of approximation operators, and axiomatic approaches, which set forth a set of axioms or desirable properties, and characterize the operators that satisfy them.…”

“…[19,20]. For all of these reasons, several other authors considered fuzzy rough set models based on general fuzzy relations [10][11][12][13][14][15]17].…”